Question

The ratio of the radius to the height of a cylinder is 1:2. If the curved surface srea is 176 sq.cm, what is its volume​

Answer 1

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$\frak{Let \: us \: assume} \rightarrow \begin{cases} \frak{The \: units \: digits \: be \: \green{a}} \\ \\ \frak{The \: tens \: digit \: be \: \green{b}}\end{cases}$

Hence, we get

$\implies \frak{ a + b = 5 + b} \\ \\ \implies \frak{ \pink{a = 5}}$

After which the original number is

$\dashrightarrow \frak{ \frak{Original \: Number : \underline{10a + b}}}$

Reversing the digit we will get the new number

$\dashrightarrow \frak{New \: Number = \underline{10b + a}}$

Now, according to the question putting all the required values to get the equation

$\rightharpoondown \frak{10a + b - (a + b) = 10 + 10b + a} \\ \\ \rightharpoonup \frak{10a + b - a - b = 10 + 10b + a} \\ \\ \rightharpoondown \frak{9a + \cancel b - \cancel b = 10 + 10b + a} \\ \\ \rightharpoonup \frak{9a - a = 10 + 10b} \\ \\ \rightharpoondown \frak{8(5) - 10 = 10b} \\ \\ \rightharpoonup \frak{40 - 10 = 10b} \\ \\ \rightharpoondown \frak{10b = 30} \\ \\ \star \quad \underline{ \boxed{ \frak{ \purple{b = 3}}}}$

$\dag \: \: \underline{ \frak{As \: we \: know \: that} }:$

$\frak{ \blue{a = 5 } \: and\: \pink{b = 3}} \\ \\ \therefore \sf Difference \: between \: the \: numbers = \frak{5 - 3 =\red{2}}$